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High-dimensional confounding adjustment in causal inference 因果推理中的高维混淆调整
IF 1.4 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2025-06-05 DOI: 10.1007/s10182-025-00528-3
Sanghun Cha, Joon Jin Song, Kyeong Eun Lee

When estimating treatment effects in observational studies, propensity score analysis (PSA) is commonly used to reduce the arising bias that results from confounders interfering with causal inference. However, propensity score (PS) estimation is unstable if some confounders are densely measured and formed into high-dimensional data, which could eventually result in a biased estimate of the treatment effect. We propose two-stage analytic procedures to mitigate the high-dimensional problem: ridge PSA and functional PSA. In addition, conventional variance estimation of treatment effect estimates in the PSA methods tends to be biased, so we leverage the empirical bootstrap approach to develop a valid variance estimator. In the simulation study, we compare the bias and MSE of treatment effects estimated by ridge PSA and function PSA under the various confounding structures, including more densely measured confounders, and evaluate the performance of bootstrap variance estimators. The proposed methods are applied in the case study of police shootings.

当估计观察性研究中的治疗效果时,倾向评分分析(PSA)通常用于减少因混杂因素干扰因果推理而产生的偏倚。然而,如果一些混杂因素被密集测量并形成高维数据,则倾向得分(PS)估计是不稳定的,最终可能导致对治疗效果的估计有偏。我们提出两阶段的分析程序,以减轻高维问题:脊PSA和功能PSA。此外,PSA方法中治疗效果估计的传统方差估计往往存在偏差,因此我们利用经验自举方法来开发有效的方差估计器。在模拟研究中,我们比较了山脊PSA和函数PSA在各种混杂结构下(包括更密集测量的混杂因素)估计的治疗效果的偏差和MSE,并评估了自举方差估计器的性能。将所提出的方法应用于警察枪击事件的案例研究。
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引用次数: 0
Using penalized-distance likelihood functions to analyze high-dimensional sparse/non-sparse data 使用惩罚距离似然函数分析高维稀疏/非稀疏数据
IF 1.4 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2025-05-30 DOI: 10.1007/s10182-025-00527-4
S. K. Ghoreishi, Jingjing Wu, Qingrun Zhang, Ghazal S. Ghoreishi

In this paper, we define a penalized-distance likelihood function. This function is much more flexible than the available likelihood functions and can be used in many disciplines. Based on this function, we introduce a statistic for hypothesis testing and derive its asymptotic distribution. This statistic can be used to test a partial hypothesis in the parameter space for both non-sparse and sparse high-dimensional data. Relevant Bayesian analysis using the Markov chain Monte Carlo (MCMC) method will be discussed. Finally, we carry out a simulation study and apply our model to a real dataset.

在本文中,我们定义了一个惩罚距离似然函数。此函数比现有的似然函数灵活得多,可用于许多学科。在此基础上,我们引入了一个用于假设检验的统计量,并推导了它的渐近分布。该统计量可用于检验非稀疏和稀疏高维数据在参数空间中的部分假设。将讨论使用马尔可夫链蒙特卡罗(MCMC)方法的相关贝叶斯分析。最后,我们进行了仿真研究,并将我们的模型应用于一个真实的数据集。
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引用次数: 0
Bias-corrected estimation for (mathcal{G}^0_I) regression with applications 偏差校正估计(mathcal{G}^0_I)回归与应用程序
IF 1.4 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2025-03-31 DOI: 10.1007/s10182-025-00525-6
M. F. S. S. Sousa, J. M. Vasconcelos, A. D. C. Nascimento

Synthetic aperture radar (SAR) systems are highly efficient tools for addressing remote sensing challenges. They offer several advantages, such as operating independently of atmospheric conditions and producing high spatial resolution images. However, SAR images are often contaminated by a type of interference called speckle noise, which complicates their analysis and processing. Therefore, proposing statistical methods, such as regression models, that account for speckle behavior is an important step for users of SAR systems. In the work [ISPRS J. Photogramm. Remote Sens., 213, 1–13, 2024], the ({mathcal{G}^{0}_{I}}) regression model (short for (mathcal{R} {mathcal{G}^{0}_{I}})) was proposed as an interpretable tool to relate SAR intensity features to other physical properties. The authors employed maximum likelihood estimators (MLEs), known for their good asymptotic properties but prone to considerable bias in small and medium sample sizes. In this paper, we propose a matrix expression for the second-order bias of MLEs for (mathcal{R} {mathcal{G}^{0}_{I}}) parameters, based on the Cox and Snell method. This proposal is justified by the necessity of using small and moderate windows when processing SAR images, such as for classification and filtering purposes. We compare bias-corrected MLEs with their counterparts using both Monte Carlo experiments and an application to SAR data from a Brazilian region. Numerical evidence demonstrates the effectiveness of our proposal.

合成孔径雷达(SAR)系统是解决遥感挑战的高效工具。它们有几个优点,如独立于大气条件运行和产生高空间分辨率图像。然而,SAR图像经常受到一种称为散斑噪声的干扰,这使得它们的分析和处理变得复杂。因此,对于SAR系统的用户来说,提出统计方法,如回归模型,来解释散斑行为是重要的一步。在作品中[ISPRS J.摄影]。遥感学报,213,1 - 13,2024],({mathcal{G}^{0}_{I}})回归模型(简称(mathcal{R} {mathcal{G}^{0}_{I}}))被提出作为一种可解释的工具,将SAR强度特征与其他物理性质联系起来。作者采用最大似然估计(MLEs),以其良好的渐近特性而闻名,但在中小型样本量中容易产生相当大的偏差。本文基于Cox和Snell方法,提出了(mathcal{R} {mathcal{G}^{0}_{I}})参数下MLEs二阶偏置的矩阵表达式。这一建议是合理的,因为在处理SAR图像时需要使用小而适中的窗口,例如用于分类和过滤目的。我们使用蒙特卡罗实验和巴西地区SAR数据的应用,比较了偏差校正的MLEs与相应的MLEs。数值证明了该方法的有效性。
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引用次数: 0
Robust corrected empirical likelihood for partially linear measurement error models 部分线性测量误差模型的鲁棒修正经验似然
IF 1.4 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2025-01-24 DOI: 10.1007/s10182-024-00518-x
Huihui Sun, Qiang Liu, Yuying Jiang

This paper considers a partially linear model in which the covariates of parametric part are measured with normal distributed errors. A newly robust corrected empirical likelihood procedure based on the corrected score function is proposed to attenuate the effects of measurement errors as well as outliers. What’s more, profit from the QR decomposition technique, the parametric and nonparametric components of the models can be estimated separately. The asymptotic properties of the proposed robust corrected empirical likelihood approach are established under some regularity conditions. Simulation studies are demonstrated to show that our proposed method performs well in finite samples. Boston housing price data are applied to illustrate the proposed estimation procedure.

考虑一种参数部分协变量以正态分布误差测量的部分线性模型。提出了一种新的基于修正分数函数的鲁棒修正经验似然过程,以减弱测量误差和异常值的影响。此外,利用QR分解技术,可以分别估计模型的参数和非参数分量。在一些正则性条件下,给出了鲁棒修正经验似然方法的渐近性质。仿真研究表明,本文提出的方法在有限样本下具有良好的性能。以波士顿房价数据为例,说明了所提出的估算方法。
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引用次数: 0
On random coefficient INAR processes with long memory 长记忆随机系数流过程研究
IF 1.4 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2025-01-24 DOI: 10.1007/s10182-025-00523-8
Jan Beran, Frieder Droullier

We consider random coefficient INAR(1) processes with a strongly dependent latent random coefficient process. It is shown that, in spite of its conditional Markovian structure, the unconditional process exhibits long-range dependence. Short-term prediction and estimation of parameters involved in the prediction are considered. Asymptotic rates of convergence are derived.

我们考虑具有强依赖的潜在随机系数过程的随机系数INAR(1)过程。结果表明,尽管无条件过程具有条件马尔可夫结构,但它具有长期依赖性。考虑了短期预测和预测中涉及的参数估计。导出了渐近收敛率。
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引用次数: 0
Fuzzy group fixed-effects estimation with spatial clustering 空间聚类模糊群固定效应估计
IF 1.4 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2025-01-03 DOI: 10.1007/s10182-024-00522-1
Roy Cerqueti, Pierpaolo D’Urso, Raffaele Mattera

The paper discusses the problem of estimating group heterogeneous fixed-effect panel data models under the assumption of fuzzy clustering, that is each unit belongs to all the clusters with a membership degree. To enhance spatial clustering, a spatio-temporal approach is considered. An iterative procedure, alternating panel data estimation and spatio-temporal clustering of the residuals, is proposed. The proposed method can be of relevance to researchers interested in using fuzzy group fixed-effect methods, but want to leverage spatial dimension for clustering units. Two empirical examples, the first on cigarette consumption in the US states and the second on non-life insurance demand in Italy, are presented to illustrate the performance of the proposed approach. The spatial fuzzy GFE model reveals important regional differences in both the US cigarette consumption and non-life insurance determinants in Italy. In the case of the US, we found a distinction in two main clusters, East and West. For the Italy provinces data, we find a distinction in North and South clusters. Regarding the regression results, for cigarette consumption data, different from the previous studies, we find that the smuggling effect is significant only in east regions, thus suggesting localised impacts of bootlegging. In the context of Italian non-life insurance demand, we find that while population density explains insurance consumption in northern provinces, the trust issues in the south explain the lower insurance demand.

本文讨论了在模糊聚类假设下的群体异构固定效应面板数据模型的估计问题,即每个单元都属于所有具有隶属度的聚类。为了增强空间聚类,考虑了一种时空方法。提出了交替面板数据估计和残差时空聚类的迭代方法。所提出的方法可以适用于对使用模糊群体固定效应方法感兴趣的研究人员,但希望利用空间维度来聚类单元。两个实证例子,第一个关于美国各州的香烟消费,第二个关于意大利的非人寿保险需求,被提出来说明所提出的方法的性能。空间模糊GFE模型揭示了美国香烟消费和意大利非寿险决定因素的重要区域差异。以美国为例,我们发现了两个主要集群的区别,东部和西部。对于意大利各省的数据,我们发现在北部和南部集群的区别。从回归结果来看,与以往研究不同的是,对于卷烟消费数据,我们发现走私效应仅在东部地区显著,这表明走私的影响是局部的。在意大利非寿险需求的背景下,我们发现人口密度解释了北部省份的保险消费,而南部省份的信任问题解释了较低的保险需求。
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引用次数: 0
Exploring the spatial clustering and spillover effects of COVID-19 vaccination uptake in Romania: an analysis at municipality level 探索罗马尼亚COVID-19疫苗接种的空间聚类和溢出效应:一项市政一级的分析
IF 1.4 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2024-12-30 DOI: 10.1007/s10182-024-00520-3
Codruta Mare, Stefana Belbe, Norbert Petrovici

This study investigates the spatial clustering and spillover effects of COVID-19 vaccine uptake in Romania, focusing on the municipality-level distribution of vaccine acceptance and hesitancy while considering the factors that influence it. The research uses the Spatial Durbin Error Model (SDEM) and identifies spatial clusterization, as well as significant contagion and diffusion processes in the vaccination behaviour conditioned by socioeconomic factors, labour market characteristics, social and religious attitudes, urban, and health indicators. We find evidence in favour of spatial spillover effects of the poverty rate, opposition to same-sex marriage, COVID-19 infection rate, peri-urban towns, and denser cities. Our findings contribute to the literature of the spatial distribution and determinants of vaccine uptake and carry practical implications for policy makers offering evidence-based insights that can inform targeted strategies and interventions to enhance vaccine acceptance and address hesitancy in specific locations.

本研究考察了罗马尼亚COVID-19疫苗接种的空间聚类和溢出效应,重点研究了疫苗接受和犹豫在城市层面的分布,并考虑了影响因素。该研究使用空间德宾误差模型(SDEM),确定了受社会经济因素、劳动力市场特征、社会和宗教态度、城市和健康指标影响的疫苗接种行为的空间集聚以及显著的传染和扩散过程。我们发现了支持空间溢出效应的证据,包括贫困率、反对同性婚姻、COVID-19感染率、城郊城镇和更密集的城市。我们的研究结果有助于研究疫苗接种的空间分布和决定因素,并为政策制定者提供基于证据的见解,为有针对性的策略和干预措施提供信息,以提高疫苗接受度,并解决特定地区的犹豫问题,具有实际意义。
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引用次数: 0
Integrated modified harmonic mean method for spatial panel data models 空间面板数据模型的综合修正调和平均法
IF 1.4 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2024-12-28 DOI: 10.1007/s10182-024-00521-2
Osman Doğan, Ye Yang, Süleyman Taşpınar

In this paper, we propose an integrated modified harmonic mean estimator (IHME) for nested and non-nested model selection problems in spatial panel data models with entity and time fixed effects. We formulate the IHME based on the integrated likelihood functions obtained by analytically integrating out the high-dimensional entity and time fixed effects from the complete likelihood functions. To investigate the finite sample properties of the IHME, we design a comprehensive simulation study that allows for both nested and non-nested model selection exercises in some popular spatial panel data models. Our simulation results show that the IHME has excellent finite sample performance and outperforms some competing estimators in terms of precision. We provide an empirical application on the US house price changes to show the usefulness of the proposed IHME in a model selection exercise.

针对具有实体固定效应和时间固定效应的空间面板数据模型中嵌套模型和非嵌套模型的选择问题,提出了一种集成的修正调和平均估计(IHME)。通过对完整似然函数中高维实体效应和时间固定效应的解析积分,得到了综合似然函数,并以此为基础建立了综合似然模型。为了研究IHME的有限样本特性,我们设计了一个全面的模拟研究,允许在一些流行的空间面板数据模型中进行嵌套和非嵌套模型选择练习。仿真结果表明,IHME具有良好的有限样本性能,在精度方面优于一些竞争估计器。我们提供了对美国房价变化的实证应用,以显示在模型选择练习中提出的IHME的有用性。
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引用次数: 0
Beyond catastrophic payments: modeling household health expenditure shares with endogenous selection 超越灾难性支付:基于内生选择的家庭医疗支出分担模型
IF 1.4 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2024-12-21 DOI: 10.1007/s10182-024-00519-w
Antonello Maruotti, Pierfrancesco Alaimo Di Loro, Cathleen Johnson

The primary purpose of this paper is to assess households’ burden due to out-of-pocket healthcare expenditures. These payments are modeled on a representative sample of 25668 Italian households as the fraction of out-of-pocket healthcare expenditures over the households’ capacity to pay. For this purpose, we propose extending the analysis of the so-called catastrophic payments by looking at the entire distribution of this ratio. We introduce a novel finite mixture regression able to capture different levels of heterogeneity in the data. By using such a model specification, the fairness of the Italian National Health Service and its determinants are investigated.

本文的主要目的是评估家庭的负担,因为自付医疗费用。这些支付以25668个意大利家庭的代表性样本为模型,作为自付医疗保健支出占家庭支付能力的比例。为此目的,我们建议通过观察这一比率的整个分布来扩大对所谓灾难性支付的分析。我们引入了一种新的有限混合回归,能够捕捉数据中不同程度的异质性。通过使用这种模型规范,对意大利国家卫生服务的公平性及其决定因素进行了调查。
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引用次数: 0
A novel bootstrap goodness-of-fit test for normal linear regression models 一种新的正态线性回归模型的自举拟合优度检验
IF 1.4 4区 数学 Q2 STATISTICS & PROBABILITY Pub Date : 2024-11-14 DOI: 10.1007/s10182-024-00517-y
Scott H. Koeneman, Joseph E. Cavanaugh

In this work, the distributional properties of the goodness-of-fit term in likelihood-based information criteria are explored. These properties are then leveraged to construct a novel goodness-of-fit test for normal linear regression models that relies on a nonparametric bootstrap. Several simulation studies are performed to investigate the properties and efficacy of the developed procedure, with these studies demonstrating that the bootstrap test offers distinct advantages as compared to other methods of assessing the goodness-of-fit of a normal linear regression model. Our inferential technique can be employed using the DBModelSelect R package, available freely via the Comprehensive R Archive Network.

本文探讨了基于似然的信息准则中拟合优度项的分布特性。然后利用这些属性为依赖于非参数自举的正态线性回归模型构建一种新的拟合优度检验。进行了几项模拟研究,以调查所开发程序的特性和有效性,这些研究表明,与评估正常线性回归模型的拟合优度的其他方法相比,自举测试具有明显的优势。我们的推理技术可以使用DBModelSelect R包,该包可以通过综合R存档网络免费获得。
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引用次数: 0
期刊
Asta-Advances in Statistical Analysis
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